Physics by Paul V. Pancella PhD & Marc Humphrey

Author:Paul V. Pancella PhD & Marc Humphrey
Language: eng
Format: epub
Publisher: DK Publishing

RED ALERT!

Be careful when you take notes or write up a solution for problems like this. Make sure you can tell the difference between the symbol for pressure P and the symbol for density ρ. (Or even the symbol used for linear momentum p.) It is easy to confuse these in handwriting.

We can get a more generally useful form of this result if we move the imaginary cube upward until its top is at the surface, where the liquid meets the atmosphere. Now we’ll call the pressure at the surface Patm, and the pressure at the bottom of the cube just plain P. We’ll also change the l to d because it’s now equivalent to the depth below the surface. Our new expression then looks like this:

P = Patm + ρgd Equation 13.2

This equation says that whenever you have fluid in a location with gravity, the pressure at a depth d in the fluid is greater than the pressure at the surface by an amount equal to ρgd.

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